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10224430432 = 254125730323
BaseRepresentation
bin10011000010110110…
…00110110101100000
3222101120001212210121
421201123012311200
5131414423233212
64410321010024
7511241140036
oct114133066540
928346055717
1010224430432
114377473a07
121b94183914
13c6c349648
146cdca4556
153ec940d07
hex2616c6d60

10224430432 has 48 divisors (see below), whose sum is σ = 20701224432. Its totient is φ = 4967956480.

The previous prime is 10224430427. The next prime is 10224430441. The reversal of 10224430432 is 23403442201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10224430397 and 10224430406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322023 + ... + 352345.

It is an arithmetic number, because the mean of its divisors is an integer number (431275509).

Almost surely, 210224430432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350612216).

10224430432 is an abundant number, since it is smaller than the sum of its proper divisors (10476794000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10224430432 is a wasteful number, since it uses less digits than its factorization.

10224430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10224430432 its reverse (23403442201), we get a palindrome (33627872633).

The spelling of 10224430432 in words is "ten billion, two hundred twenty-four million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 257 328 514 656 1028 1312 2056 4112 8224 10537 21074 30323 42148 60646 84296 121292 168592 242584 337184 485168 970336 1243243 2486486 4972972 7793011 9945944 15586022 19891888 31172044 39783776 62344088 124688176 249376352 319513451 639026902 1278053804 2556107608 5112215216 10224430432